Structure-dynamics interplay in complex networks

Lucas Antiqueira, Bruno Abrahao, Jonathan Cannon, Damian Blasi, Gavin Fay, Joseph Gran, Chaitanya Gokhale, Vanessa Weinberger, Borys Wrobel

Goal: Analyze and explain relationships between network structure (degree, centrality, motifs, etc) and network dynamics.

We have two different trends. The first one has the following features:

• The dynamics is a diffusion process (random walk) occurring on the network.
• The structure is represented by different network models (random, small-world, scale-free).
• Applications? Any network whose dynamical properties are reasonably represented by random walks.
• People interested: Lucas Antiqueira, Damian Blasi

Second trend:

• The dynamics is related to the network evolution in terms of inclusion of nodes, rewiring of edges, change of nodes/edges properties, etc, etc.
• Motifs play a special role in structural analysis.
• Special attention to food-webs.
• People interested: Jonathan Cannon